Least Common Multiple of 17/38, 31/34, 10/62, 48/974

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/38, 31/34, 10/62, 48/974 quickly i.e. 63240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/38, 31/34, 10/62, 48/974 is 63240.

LCM(17/38, 31/34, 10/62, 48/974) = 63240

LCM of 17/38, 31/34, 10/62, 48/974

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 17/38,31/34,10/62,48/974

Given numbers are 17/38,31/34,10/62,48/974

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 17,31,10,48

Least Common Multiple of Numerators i.e. LCM of 17,31,10,48 is 126480.

GCF of Denominators means GCF of 38,34,62,974 as per the given fractions.

GCF of 38,34,62,974 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,31,10,48

LCM of Fractions 17/38,31/34,10/62,48/974 is 63240

2 17, 31, 10, 48
17, 31, 5, 24

∴ So the LCM of the given numbers is 2 x 17 x 31 x 5 x 24 = 126480

Least Common Multiple of 17,31,10,48 with GCF Formula

Least Common Multiple of 17,31,10,48 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 17,31,10,48 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,31,10,48) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(17,31,10,48) x common factors =1 x 2 = 2

LCM(17,31,10,48) = ( 17 × 31 × 10 × 48 ) / 2

LCM(17,31,10,48) = 252960 / 2

LCM(17,31,10,48) = 126480


Lets's calculate GCF of 38,34,62,974

2 38, 34, 62, 974
19, 17, 31, 487

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 126480/2

Therefore the LCM of Fractions 17/38,31/34,10/62,48/974 is 63240

Greatest Common Factor of 38,34,62,974 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,34,62,974 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 974

List of positive integer factors of 974 that divides 974 without a remainder.

1,2,487,974

Greatest Common Factor

We found the factors 38,34,62,974 . The biggest common factor number is the GCF number.
So the greatest common factor 38,34,62,974 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 17/38, 31/34, 10/62, 48/974

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 17/38, 31/34, 10/62, 48/974?

Answer: LCM of Numerators as per given numbers 17/38, 31/34, 10/62, 48/974 is

LCM of Numerators i.e. for 17,31,10,48 is 126480

GCF of denominators i.e. for 38,34,62,974 is 2.

Thus, LCM of Fractions is 63240.Finally, LCM of Fractions for 17/38, 31/34, 10/62, 48/974 is 63240.